Question
Find the volume $ V $ of a triangular prism if side $a = 8\, \text{cm}$ and length $l = 12\, \text{cm}$.
Answer
$192 \sqrt{ 3 }\, \text{cm}^3$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ \sqrt{ 3 } \cdot a ^{ 2 } \cdot l }{ 4 } $$After substituting $a = 8\, \text{cm}$ and $l = 12\, \text{cm}$ we have:
$$ V =\dfrac{ \sqrt{ 3 } \cdot 8\, \text{cm} ^{ 2 } \cdot 12\, \text{cm} }{ 4 } $$$$ V = \dfrac{ 64 \sqrt{ 3 }\, \text{cm}^2 \cdot 12\, \text{cm} }{ 4 }$$$$ V = \dfrac{ 768 \sqrt{ 3 }\, \text{cm}^3 }{ 4 } $$$$ V = 192 \sqrt{ 3 }\, \text{cm}^3 $$This page was created using
Triangular Prism Calculator